Orbit Fit and Astrometric record for 13RQ157

The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.

# Object: 13RQ157   
# Created Fri Dec  3 02:11:55 2021
# Orbit generated from Bernstein formalism
# Fitting     10 observations of     10
# Arc:   4.11y
# First observation: 2013/09/11
#  Last observation: 2017/10/22
Preliminary a, adot, b, bdot, g, gdot:
   0.000119   0.028773   0.000021   0.004392   0.029067   0.000000
# Chi-squared of fit:     1.42 DOF:     14 RMS:  0.07
# Min/Max residuals:    -0.12    0.15
# Exact a, adot, b, bdot, g, gdot:
  1.662139E-05  2.862154E-02  2.553661E-06  4.353649E-03  2.802338E-02 -2.456748E-03
# Covariance matrix:
  3.4969E-13 -3.2597E-13  9.5916E-15 -3.1962E-14  6.0435E-13 -2.8830E-12
 -3.2597E-13  2.0721E-12 -3.4341E-14  2.8659E-13 -1.3116E-12  2.1545E-11
  9.5916E-15 -3.4341E-14  2.9280E-13 -8.7277E-14  1.0563E-13 -4.2070E-13
 -3.1962E-14  2.8659E-13 -8.7277E-14  8.8117E-14 -1.4834E-13  3.0249E-12
  6.0435E-13 -1.3116E-12  1.0563E-13 -1.4834E-13  7.6637E-12 -1.8474E-11
 -2.8830E-12  2.1545E-11 -4.2070E-13  3.0249E-12 -1.8474E-11  2.3226E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   13.407652  -40.287638   -0.481585    0.205295   -0.860852  2456546.664558
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:          268.14135 +/-     0.264
Argument of Peri:      157.91055 +/-     0.213
Long of Asc Node:      263.83185 +/-     0.002
Inclination:            15.54835 +/-     0.000
Eccentricity:         0.07423895 +/-    0.0005
Semi-Major Axis:     36.26312709 +/-    0.0138
Time of Perihelion: 2476892.8161 +/-      57.4
Perihelion:          33.57099074 +/-    0.0233
Aphelion:            38.95526343 +/-    0.0245
Period (y)              218.3766 +/-      0.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           27.46507072 +/-    0.0026
Ecliptic Y          -22.64756207 +/-    0.0022
Ecliptic Z            8.27452095 +/-    0.0008
Ecliptic XDOT         0.00154864 +/-    0.0000
Ecliptic YDOT         0.00234661 +/-    0.0000
Ecliptic ZDOT         0.00035824 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.54736481 +/-    0.0024
Geocenter to KBO     35.68449326 +/-    0.0035
# Hcoef:  7.76

The following table shows the complete astrometric record for 13RQ157. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (13RQ157) followed by the observatory code and reference code for the source of the astrometry.

2013 09  11.16378  21 11 47.548  -02 08 48.21  23.7r 13RQ157   W84  C~52RP      
2013 09  11.16515  21 11 47.552  -02 08 48.11  23.3i 13RQ157   W84  C~52RP      
2013 09  13.11509  21 11 39.375  -02 09 46.15  22.9i 13RQ157   W84  C~52RP      
2013 09  13.11648  21 11 39.358  -02 09 45.96  22.9z 13RQ157   W84  C~52RP      
2013 10  11.04758  21 10 13.727  -02 23 12.67  22.9z 13RQ157   W84  C~52RP      
2016 09  08.06550  21 29 55.724  +00 06 09.44  23.1i 13RQ157   W84  C~52RP      
2016 09  26.05493  21 28 41.472  -00 03 25.38  23.5r 13RQ157   W84  C~52RP      
2016 09  26.05631  21 28 41.475  -00 03 25.43  23.1i 13RQ157   W84  C~52RP      
2017 10  11.00640  21 33 57.176  +00 33 27.31  23.4i 13RQ157   W84  C~52RP      
2017 10  22.03122  21 33 36.478  +00 28 01.11  23.3i 13RQ157   W84  C~52RP      

The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.

     1   0.0000      0.00    -0.10       0.00    -0.02
     2   0.0000      0.09     0.09       0.08     0.07
     3   0.0053   -134.32     0.02     -18.01    -0.12
     4   0.0053   -134.50    -0.07     -17.75     0.15
     5   0.0818  -1602.29     0.05    -396.88    -0.05
     6   2.9922  18056.93     0.04    2749.99     0.00
     7   3.0415  16811.85    -0.07    2540.81    -0.02
     8   3.0415  16811.88     0.05    2540.74    -0.06
     9   4.0817  22043.77     0.04    3210.39     0.05
    10   4.1119  21643.97    -0.05    2992.82     0.01

The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.

13RQ157    quality flag:2

Type:           4:3E      4:3E  CENTAURS

axisobj        36.364    36.406    36.321
ecceobj         0.075     0.074     0.076
incobj         15.562    15.562    15.562
qmin           32.763    33.244    29.890
qmax           40.554    40.226    43.762
amean          36.479    36.479    36.477
amin           36.070    36.078    36.001
amax           36.898    36.896    36.996
emean           0.071     0.065     0.127
emin            0.025     0.032     0.033
emax            0.101     0.091     0.183
imean          19.103    18.725    18.069
imin           15.858    15.212    14.556
imax           21.057    20.763    20.183
excite_mean     0.335     0.328     0.337
fracstop        1.000     1.000     1.000
cjmean          2.897     2.903     2.898

libcent 0       180.9     179.8    -180.0
libamp  0       148.9     127.3    -180.0
libcent 1      -180.0    -180.0    -180.0
libamp  1      -180.0    -180.0    -180.0
libcent 2      -180.0    -180.0    -180.0
libamp  2      -180.0    -180.0    -180.0
libcent 3      -180.0    -180.0    -180.0
libamp  3      -180.0    -180.0    -180.0
libcent 4      -180.0    -180.0    -180.0
libamp  4      -180.0    -180.0    -180.0

kozaimean       179.1     179.3     179.4
kozaiamp        180.0     180.0     180.0